3348072000 has 1008 divisors, whose sum is σ = 15209196912. Its totient is φ = 696729600.

The previous prime is 3348071999. The next prime is 3348072001. The reversal of 3348072000 is 2708433.

It is an interprime number because it is at equal distance from previous prime (3348071999) and next prime (3348072001).

It can be written as a sum of positive squares in 8 ways, for example, as 1612183104 + 1735888896 = 40152^2 + 41664^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3348072000² = 22419172234368000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3348072001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45863964 + ... + 45864036.

It is an arithmetic number, because the mean of its divisors is an integer number (15088489).

Almost surely, 2^3348072000 is an apocalyptic number.

3348072000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3348072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604598456).

3348072000 is an abundant number, since it is smaller than the sum of its proper divisors (11861124912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3348072000 is a wasteful number, since it uses less digits than its factorization.

3348072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3348072000 is about 57862.5267336296. The cubic root of 3348072000 is about 1496.0000095323. Note that the first 5 decimals are identical.

The spelling of 3348072000 in words is "three billion, three hundred forty-eight million, seventy-two thousand".